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The Pearson correlation, correlation ratio, and maximal correlation have been well-studied in the literature. In this paper, we study the conditional versions of these quantities. We extend the most important properties of the unconditional…

概率论 · 数学 2019-05-28 Lei Yu

This paper proposes consistent estimators for transformation parameters in semiparametric models. The problem is to find the optimal transformation into the space of models with a predetermined regression structure like additive or…

统计理论 · 数学 2008-12-18 Oliver Linton , Stefan Sperlich , Ingrid Van Keilegom

Unbiased and consistent variance estimators generally do not exist for design-based treatment effect estimators because experimenters never observe more than one potential outcome for any unit. The problem is exacerbated by interference and…

统计方法学 · 统计学 2024-07-04 Christopher Harshaw , Joel A. Middleton , Fredrik Sävje

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

统计方法学 · 统计学 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

This work addresses the problem of fusing two random vectors with unknown cross-correlations. We present a formulation and a numerical method for computing the optimal estimate in the minimax sense. We extend our formulation to linear…

系统与控制 · 计算机科学 2016-10-05 Spyridon Leonardos , Kostas Daniilidis

A prescription is presented for a new and practical correlation coefficient, $\phi_K$, based on several refinements to Pearson's hypothesis test of independence of two variables. The combined features of $\phi_K$ form an advantage over…

统计方法学 · 统计学 2019-03-12 M. Baak , R. Koopman , H. Snoek , S. Klous

The article attempts to find an algebraic formula describing the correlation coefficients between random variables and the principal components representing them. As a result of the analysis, starting from selected statistics relating to…

机器学习 · 计算机科学 2023-10-11 Zenon Gniazdowski

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

统计理论 · 数学 2009-09-29 Mi-Ok Kim

This article proposes a novel estimator for regression coefficients in clustered data that explicitly accounts for within-cluster dependence. We study the asymptotic properties of the proposed estimator under both finite and infinite…

统计方法学 · 统计学 2026-02-05 Subhodeep Dey , Gopal K. Basak , Samarjit Das

Two-phase outcome dependent sampling (ODS) is widely used in many fields, especially when certain covariates are expensive and/or difficult to measure. For two-phase ODS, the conditional maximum likelihood (CML) method is very attractive…

统计方法学 · 统计学 2022-12-21 Menglu Che , Peisong Han , Jerald F. Lawless

Estimating the proportion of signals hidden in a large amount of noise variables is of interest in many scientific inquires. In this paper, we consider realistic but theoretically challenging settings with arbitrary covariance dependence…

统计方法学 · 统计学 2021-04-12 X. Jessie Jeng

We consider the problem of efficient statistical inference for comparing two regression curves estimated from two samples of dependent measurements. Based on a representation of the best pair of linear unbiased estimators in continuous time…

统计方法学 · 统计学 2016-01-29 Holger Dette , Kirsten Schorning , Maria Konstantinou

In this paper, we propose an empirical likelihood-based weighted estimator of regression parameter in quantile regression model with nonignorable missing covariates. The proposed estimator is computationally simple and achieves…

统计方法学 · 统计学 2017-10-10 Xiaohui Yuan , Xiaogang Dong

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

统计理论 · 数学 2007-10-22 Odile Pons

We study asymptotic behavior of one-step weighted $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent weighted…

统计理论 · 数学 2015-07-07 Yu. Yu. Linke

To measure the degree of agreement between two observers that independently classify $n$ subjects within $K$ categories, it is common to use different kappa type coefficients, the most common of which is the $\kappa_C$ coefficient (Cohen's…

统计理论 · 数学 2026-02-24 A. Martín Andrés , M. Álvarez Hernández

Chakrabarty, Khoshnevisan, Sahai and Ray, Solanki suggested some estimators to estimate unknown population mean of the study variable. These authors discussed the estimators along with their first order biases and mean square errors(MSEs).…

统计理论 · 数学 2013-09-13 prayas sharma , rajesh singh , Jong-Min Kim

When fitting statistical models, some predictors are often found to be correlated with each other, and functioning together. Many group variable selection methods are developed to select the groups of predictors that are closely related to…

统计方法学 · 统计学 2021-03-25 Zhiyuan Li

Suppose that univariate data are drawn from a mixture of two distributions that are equal up to a shift parameter. Such a model is known to be nonidentifiable from a nonparametric viewpoint. However, if we assume that the unknown mixed…

统计理论 · 数学 2016-08-16 Laurent Bordes , Stéphane Mottelet , Pierre Vandekerkhove

A model-assisted semiparametric method of estimating finite population totals is investigated to improve the precision of survey estimators by incorporating multivariate auxiliary information. The proposed superpopulation model is a…

统计方法学 · 统计学 2019-03-19 Lily Wang